Is 943 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 943, the answer is: No, 943 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 943) is as follows: 1, 23, 41, 943.

For 943 to be a prime number, it would have been required that 943 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

943 is a multiple of 1
943 is a multiple of 23
943 is a multiple of 41

For 943 to be a prime number, it would have been required that 943 has only two divisors, i.e., itself and 1.

However, 943 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 943 = 23 x 41, where 23 and 41 are both prime numbers.

Is 943 a deficient number?

Yes, 943 is a deficient number, that is to say 943 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 943 without 943 itself (that is 1 + 23 + 41 = 65).

Parity of 943

943 is an odd number, because it is not evenly divisible by 2.

Find out more:

What is an even number?

Is 943 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 943 is about 30.708.

Thus, the square root of 943 is not an integer, and therefore 943 is not a square number.

What is the square number of 943?

The square of a number (here 943) is the result of the product of this number (943) by itself (i.e., 943 × 943); the square of 943 is sometimes called "raising 943 to the power 2", or "943 squared".

The square of 943 is 889 249 because 943 × 943 = 943² = 889 249.

As a consequence, 943 is the square root of 889 249.

Number of digits of 943

943 is a number with 3 digits.

What are the multiples of 943?

The multiples of 943 are all integers evenly divisible by 943, that is all numbers such that the remainder of the division by 943 is zero. There are infinitely many multiples of 943. The smallest multiples of 943 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 943 too, since 0 × 943 = 0
943: indeed, 943 is a multiple of itself, since 943 is evenly divisible by 943 (we have 943 / 943 = 1, so the remainder of this division is indeed zero)
1 886: indeed, 1 886 = 943 × 2
2 829: indeed, 2 829 = 943 × 3
3 772: indeed, 3 772 = 943 × 4
4 715: indeed, 4 715 = 943 × 5
etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 943). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 30.708). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 943

Preceding numbers: …941, 942
Following numbers: 944, 945…

Nearest numbers from 943

Preceding prime number: 941
Following prime number: 947